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Finding the Fourth Proportional to 5,782, 8,674.80 and 1,678

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Solution

The fourth proportional to 5,782, 8,674.80 and 1,678 is: 2,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 8,674.80 = 1,678 : x
  2. Step 2: Convert to fraction form
    5,782/8,674.80 = 1,678/x
  3. Step 3: Cross multiply
    5,782x = 8,674.80 × 1,678
  4. Step 4: Simplify right side
    5,782x = 14,556,314.40
  5. Step 5: Solve for x
    x = 14,556,314.40/5,782
  6. Step 6: Final answer
    x = 2,517.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.